Analyzing Concavity of a Function

Key Questions

• How do you determine the concavity of a quadratic function?

  For a quadratic function #f(x)=ax^2+bx+c#,
  if #a>0#, then #f# is concave upward everywhere,
  if #a<0#, then #f# is concave downward everywhere.

  Wataru · 6 · Sep 21 2014

• How do you determine the concavity of a quadratic function?
• How do you find the concavity of a rational function?
• What is the concavity of a linear function?
• What x values is the function concave down if #f(x) = 15x^(2/3) + 5x#?
• How do you know concavity inflection points, and local min/max for #f(x) = 2x^3 + 3x^2 - 432x#?
• How do you determine the concavity for #f(x) = x^4 − 32x^2 + 6#?
• How do you find the intervals on which the graph of #f(x)=5sqrtx-1# is concave up or is concave down, and find the x - coordinates o the points of inflection?
• How do you determine where the given function #f(x) = (x+3)^(2/3) - 6# is concave up and where it is concave down?
• How do you determine the intervals on which function is concave up/down & find points of inflection for #y=4x^5-5x^4#?
• On what intervals the following equation is concave up, concave down and where it's inflection point is (x,y) #f(x)=x^8(ln(x))#?
• On what interval is #f(x)=6x^3+54x-9# concave up and down?
• How do you use the second derivative test to find where the function #f(x) = (5e^x)/(5e^x + 6)# is concave up, concave down, and inflection points?
• How do you find intervals where the graph of #f(x) = x + 1/x# is concave up and concave down?
• How do you determine the interval(s) where the function #f(x) = xe^-x# is concave down?
• How do you find interval of increasing, decreasing, concave up and down for #f(x) = 2x^3-3x^2-36x-7#?
• What are the inflection points for #f(x) = -x^4-9x^3+2x+4#?
• Given the function #f(x)= 1/12x^4 + 1/6x^3-3x^2-2x+1# how do you find any points of inflection and determine where the curve is concave up or down?
• How do you find the concavity for #f(x)= -6 sqrt (x)#?
• How do you find what x-values are the graph on #f(x)=(2x-3) / (x^2)# concave up and concave down?
• How do you find the inflection point, concave up and down for #f(x)=x^3-3x^2+3#?
• How do you determine the intervals where the graph of the given function is concave up and concave down #f(x)= sinx-cosx# for #0<=x<=2pi#?
• How do you find the concavity for #f(x)=3/x^2−4#?
• How do I find concave up and concave down from #f(x)=x^3+3x^2+5x+7#?
• What intervals is #f(x) = (5x^2)/(x^2 + 4)# concave up/down?
• How do you ise interval notation indicate where f(x) is concave up and concave down for #f(x)=x^(4)-6x^(3)#?
• How do you find the intervals which are concave up and concave down for #f(x) = x/x^2 - 5#?
• How do you determine where the graph of the given function is increasing, decreasing, concave up, and concave down for #h(x) = (x^2) / (x^2+1)#?
• For #y=e^x/5x^2 +1#, how do you find the approximate intervals where the function is increasing, decreasing, concave up and concave down?
• How do you find the intervals of increasing, decreasing and concavity for # f(x) = 2x^3 + 3x^2 - 432x #?
• How do you use the second derivative to determine concave up / down for #f(x) = 3x^3-18x^2+6x-29#?
• How do you find the interval where f is concave up and where f is concave down for #f(x)= –(2x^3)–(3x^2)–7x+2#?
• How do you determine the values of x for which the graph of f is concave up and those on which it is concave down for #f(x) = 6(x^3) - 108(x^2) + 13x - 26#?
• Is the function concave up or down if #f(x)= (lnx)^2#?
• Using the second derivative f''(x) = 36x^2-12, how do you find the intervals in which f is concave up and the intervals in which f is concave down?
• How do you find the intervals where the function #f(x)=(2x-1^2)(x-3)^2# is concave up and concave down?
• How would you determine where the function f(x) is concave up and concave down for #f(x)=2x^3-3x^2-12x+1#?
• How do you find increasing, decreasing intervals, local max mins, concave up and down for # f(x) = (x^2)/(x^2 +3) #?
• How to find if a function #f(x)= 4/(x^2+1)# is concave up or concave down?
• How do you determine if a function is concave up/ concave down if #tanx+2x #on #(-pi/2, pi/2)#?
• What is the largest interval on which the function is concave down for #f(x) = 5sin(x) + (sin(x))^2# over the interval #[-pi/3, 2pi/3]#?
• How do you know where the graph of f(x) is concave up and where it is concave down for #f(x) = x^3 + x#?
• How do you determine the interval(s) on which the function #y= ln(x) / x^3# is concave up and concave down?
• How do you find concavity, inflection points, and min/max points for the function: #f(x)=x(x^2+1)# defined on the interval [–5,4]?
• How do I find concavity and points of inflection for #y = 3x^5 - 5x^3#?
• Where is the graph #4x^3 + 9x^2 - 54x + 1# concave up or down, increasing or decreasing?
• How do you describe the concavity of the graph and find the points of inflection (if any) for #f(x) = x^3 - 3x + 2#?
• How do you determine the concavity for #g(x)=-x^2+3x+4#?
• How do you find concavity when #f(x)= x^(7/3) + x^(4/3)#?
• How do you test #f(x)=8 x^4−9 x^3 +9# for concavity and inflection points?
• How do you determine the concavity of # y=2cosx+sin2x#?
• How do you determine whether the function #g(x)=-x^2+3x+4# is concave up or concave down?
• How do you determine whether the function #f(x)=(2x-1)^2(x-3)^2# is concave up or concave down?
• How do you determine whether the function #y=ln x# is concave up or concave down and its intervals?
• How do you determine whether the function #F(x) = x + 1/x# is concave up or concave down and its intervals?
• How do you determine whether the function # f(x) = 2x^3 + 3x^2 - 432x # is concave up or concave down and its intervals?
• How do you determine whether the function #f^('')(x) = 36x^2-12# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x) = ln(x^2 + 7)# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x) = x/(x^2 - 5)# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)= (lnx)^2# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)=x^(4)-6x^(3)# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)= sinx-cosx# is concave up or concave down and its intervals?
• How do you determine whether the function #f (x) = x sqrt(x^2+2x+5)+1 sqrt(x^2+2x+5)# is concave up or concave down and its intervals?
• How do you determine whether the function # h '(x) = ((x^2) - 2) / x # is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)= -6 sqrt (x)# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)=(2x-3) / (x^2)# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)=2x^3-3x^2-12x+1# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x) = 6x^3+54x-9# is concave up or concave down and its intervals?
• How do you determine whether the function #ln(x^2+10)# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x) = -x^4-9x^3+2x+4# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)= 4/(x^2+1)# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x) = xe^-x# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)=x^3+3x^2+5x+7# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)=x^8(ln(x))# is concave up or concave down and its intervals?
• How do you determine whether the function # y=e^x/(5x^2 +1)# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x) = (x^2)/(x^2+1)# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)=3x^5 - 20x^3# is concave up or concave down and its intervals?
• How do you determine whether the function #F(x)= 1/12X^4 + 1/6X^3-3X^2-2X+1# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)=3/(x^2−4)# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x) = x^2e^x# is concave up or concave down and its intervals?
• How do you determine whether the function #y=x^2 # is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)= (x-1) / (x+52)# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)= 5+12x- x^3# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)= x/ (x^2+2)# is concave up or concave down and its intervals?
• How do you determine whether the function #f(x)= 2x^3-3x^2-36x-7# is concave up or concave down and its intervals?
• If #f(x)=sinx+cosx#, what are the x-coordinates of the points of inflection of the graph f (x)?
• If #y= x^3 + 6x^2 + 7x -2cosx#, what are the points of inflection of the graph f (x)?
• If #y = xe^(-x)#, what are the points of inflection of the graph f (x)?
• If #y = 3x^5 - 5x^3#, what are the points of inflection of the graph f (x)?
• If #y = 1/(1+x^2)#, what are the points of inflection of the graph f (x)?
• If #1/3(x-1)^3+2#, what are the points of inflection, concavity and critical points?
• If #(x^2+1) / (x^2-2)#, what are the points of inflection, concavity and critical points?
• If #( x+2) / x#, what are the points of inflection, concavity and critical points?
• If #f(x)=x(x^2+1) #, what are the points of inflection, concavity and critical points?
• If #f(x) = 2 sin x + sin 2x#, what are the points of inflection, concavity and critical points?
• If # e^x / (5+e^x)#, what are the points of inflection, concavity and critical points?
• If # f(x) = ( x^3 )/( x^2 - 25 )#, what are the points of inflection, concavity and critical points?
• If # y=e^(−x^2)#, what are the points of inflection, concavity and critical points?
• If # f(x) = x^3 - 6x^2 + 9x +1#, what are the points of inflection, concavity and critical points?
• If # f(x)= (x^2)/(x-2)^2#, what are the points of inflection, concavity and critical points?
• If #y = x^2 ln x#, what are the points of inflection, concavity and critical points?
• If #y= (x^2+1)/(x^2-4) #, what are the points of inflection, concavity and critical points?
• If #y= x^2 + 2x + 3#, what are the points of inflection, concavity and critical points?
• If #f(x) = (5/2)x^(2/3) - x^(5/3)#, what are the points of inflection, concavity and critical points?
• If #(7x^2)/(2x-3)#, what are the points of inflection, concavity and critical points?
• If #y = 1 / (1+x^2)#, what are the points of inflection, concavity and critical points?
• Is #f(x)=-x^3-x^2+x# concave or convex at #x=4#?
• Is #f(x)=-x^5+3x^4-9x^3-2x^2-6x# concave or convex at #x=8#?
• Is #f(x)=-x^5+3x^4-9x^3-2x^2-6x# concave or convex at #x=-3#?
• Is #f(x)=4x^5-2x^4-9x^3-2x^2-6x# concave or convex at #x=-1#?
• Is #f(x)=4x^5-x^4-9x^3+5x^2-7x# concave or convex at #x=-1#?
• Is #f(x)=sinx# concave or convex at #x=-1#?
• Is #f(x)=sinx# concave or convex at #x=pi/5#?
• Is #f(x)=sinx# concave or convex at #x=pi/2#?
• Is #f(x)=sinx# concave or convex at #x=(3pi)/2#?
• Is #f(x)=cosx# concave or convex at #x=(3pi)/2#?
• Is #f(x)=cosx# concave or convex at #x=pi/2#?
• Is #f(x)=xcosx# concave or convex at #x=pi/2#?
• Is #f(x)=xtanx# concave or convex at #x=pi/4#?
• Is #f(x)=-xe^x+x^3-x^2# concave or convex at #x=-2#?
• Is #f(x)=1-e^(3x)# concave or convex at #x=2#?
• Is #f(x)=1-xe^(-3x)# concave or convex at #x=-2#?
• Is #f(x)=1-x-e^(-3x)/x# concave or convex at #x=4#?
• Is #f(x)=1-x-e^(x)/x^2# concave or convex at #x=-1#?
• Is #f(x)=xlnx-x# concave or convex at #x=1#?
• Is #f(x)=xe^x-x^2# concave or convex at #x=0#?
• Is #f(x)=e^x-x^2/(x-1)# concave or convex at #x=0#?
• Is #f(x)=e^(2x)-x^2/(x-1)-1# concave or convex at #x=0#?
• Is #f(x)=e^(x-1)-x^2/(x-1)-1# concave or convex at #x=-1#?
• Is #f(x)=(x-3)(x-2)-x^2# concave or convex at #x=3#?
• Is #f(x)=(x-3)(x-2)-x^2+x^3# concave or convex at #x=-1#?
• Is #f(x)=3x^5-x^3+8x^2-x# concave or convex at #x=0#?
• Is #f(x)=3x^5-x^3+8x^2-x+3# concave or convex at #x=-4#?
• Is #f(x)=-2x^5-2x^3+3x^2-x+3# concave or convex at #x=-1#?
• Is #f(x)=-2x^5-2x^3-12x^2-6x+1# concave or convex at #x=-1#?
• Is #f(x)=-x^5-5x^3-3x^2+12x+8# concave or convex at #x=-3#?
• Is #f(x)=4x^5+2x^3-2x^2+2x+8# concave or convex at #x=-3#?
• Is #f(x)=-9x^5+15x^4-21x^2-8x+2# concave or convex at #x=3#?
• Is #f(x)=-x^5-2x^4+8x^2-4x+2# concave or convex at #x=-5#?
• Is #f(x)=4x^5-12x^4+5x^2+2x+2# concave or convex at #x=-5#?
• Is #f(x)=-3x^5-2x^4-9x^2+x-7# concave or convex at #x=5#?
• Is #f(x)=-3x^5-2x^4-6x^3+x-7# concave or convex at #x=5#?
• Is #f(x)=-x^5-x^4-2x^3+x-7# concave or convex at #x=-2#?
• Is #f(x)=-5x^5-2x^4-2x^3+14x-17# concave or convex at #x=0#?
• Is #f(x)=-x^5-21x^4-2x^3+4x-30# concave or convex at #x=0#?
• Is #f(x)=-4x^5-2x^4-2x^3+42x-30# concave or convex at #x=0#?
• Is #f(x)=-4x^5-2x^4-5x^3+2x-31# concave or convex at #x=-2#?
• Is #f(x)=(x-3)^3-x+15# concave or convex at #x=3#?
• Is #f(x)=(x-9)^3-x+15# concave or convex at #x=-3#?
• Is #f(x)=(x-1/x)# concave or convex at #x=-1#?
• Is #f(x)=(x-1/x)# concave or convex at #x=1#?
• Is #f(x)=(x-2)^3-x^4+x# concave or convex at #x=0#?
• Is #f(x)=sinx/cosx# concave or convex at #x=0#?
• Is #f(x)=tanx# concave or convex at #x=0#?
• Is #f(x)=tanx# concave or convex at #x=pi/3#?
• Is #f(x)=1/x^3-x^3# concave or convex at #x=1#?
• Is #f(x)=3/x-2x# concave or convex at #x=9/4#?
• Is #f(x)=1/(x-1)-2x# concave or convex at #x=0#?
• Is #f(x)=1/(x-1)-2xlnx# concave or convex at #x=0#?
• Is #f(x)=e^(3x)-2xlnx# concave or convex at #x=1#?
• Is #f(x)=e^(3-3x)+x/ln2x# concave or convex at #x=1#?
• Is #f(x)=e^x/(x-e^x)# concave or convex at #x=0#?
• Is #f(x)=x/(1-x^3e^(x/3)# concave or convex at #x=-2#?
• Is #f(x)=x^3-x^2+x-4# concave or convex at #x=-1#?
• Is #f(x)=-3x^3-2x^2-12x-4# concave or convex at #x=-1#?
• Is #f(x)=-3x^3+4x^2+3x-4# concave or convex at #x=-1#?
• Is #f(x)=-3x^3-x^2-3x+2# concave or convex at #x=-1#?
• Is #f(x)=5x^3-2x^2+5x+12# concave or convex at #x=-1#?
• Is #f(x)=9x^3+2x^2-2x-2# concave or convex at #x=-1#?
• Is #f(x)=-x^3+2x^2-2x-2# concave or convex at #x=1#?
• Is #f(x)=-x^3+2x^2-4x-2# concave or convex at #x=0#?
• Is #f(x)=-x^3-12x^2-14x-2# concave or convex at #x=0#?
• Is #f(x)=x^3+2x^2-4x-12# concave or convex at #x=3#?
• Is #f(x)=-2x^3-2x^2+8x-1# concave or convex at #x=3#?
• Is #f(x)=-2x^5+7x^2+8x-13# concave or convex at #x=-4#?
• Is #f(x)=-2x^5+7x^2-6x+3# concave or convex at #x=-4#?
• Is #f(x)=-x^5-2x^2-6x+3# concave or convex at #x=-4#?
• Is #f(x)=5x^5-x^2+4x+3# concave or convex at #x=-4#?
• Is #f(x)=-8x^5-x^2+5x-4# concave or convex at #x=-4#?
• Is #f(x)=-2x^5-3x^4+15x-4# concave or convex at #x=-4#?
• Is #f(x)=-2x^5-2x^4+5x-45# concave or convex at #x=-2#?
• Is #f(x)=x^5-4x^4+16x-4# concave or convex at #x=-2#?
• Is #f(x)=10x^5-7x^4+x-4# concave or convex at #x=-1#?
• Is #f(x)=x^4-4x^3+x-4# concave or convex at #x=-1#?
• Is #f(x)=x^4-2x^3-9x-14# concave or convex at #x=-1#?
• Is #f(x)=-2x^4-x^3+4x+4# concave or convex at #x=-1#?
• Is #f(x)=(x-3)(x+2)(x-4)^2# concave or convex at #x=-1#?
• Is #f(x) =e^xsinx-cosx# concave or convex at #x=pi/3#?
• Is #f(x)=x^3-2x+7 # concave or convex at #x=2 #?
• Is #f(x)=-sqrt(e^x -x^3-2x # concave or convex at #x=-1 #?
• Is #f(x)=x^3-x+e^(x-x^2) # concave or convex at #x=1 #?
• Is #f(x)=x^3-xe^(x-x^2) # concave or convex at #x=1 #?
• Is #f(x)=x(x-2)(x+3)(x-1)# concave or convex at #x=1 #?
• For what values of x is #f(x)=((5x)/2)^(2/3) - x^(5/3# concave or convex?
• For what values of x is #f(x)=x^4-x^3+7x^2-2# concave or convex?
• For what values of x is #f(x)=2x^4+4x^3+2x^2-2# concave or convex?
• For what values of x is #f(x)=-x^4+4x^3-2x^2-x+5# concave or convex?
• For what values of x is #f(x)=-x^3-4x^2+2x+5# concave or convex?
• For what values of x is #f(x)=-x^3+x^2+2x+5# concave or convex?
• For what values of x is #f(x)=-x^3+x^2-x+5# concave or convex?
• For what values of x is #f(x)=3x^3+2x^2-x+9# concave or convex?
• For what values of x is #f(x)=3x^3-7x^2-5x+9# concave or convex?
• For what values of x is #f(x)=4/x^2+1# concave or convex?
• For what values of x is #f(x)=4/(x^2-1# concave or convex?
• For what values of x is #f(x)=(4x)/(x^2-1)# concave or convex?
• For what values of x is #f(x)=(-2x^2)/(x-1)# concave or convex?
• For what values of x is #f(x)=(-2x)/(x-1)# concave or convex?
• For what values of x is #f(x)=4x^5-5x^4# concave or convex?
• For what values of x is #f(x)=(x-3)(x-1)(x-2)# concave or convex?
• For what values of x is #f(x)=(x+6)(x-1)(x+3)# concave or convex?
• For what values of x is #f(x)=(x+6)(x-10)(x-3)# concave or convex?
• For what values of x is #f(x)=(x-2)(x-4)(x-3)# concave or convex?
• For what values of x is #f(x)=(x-2)(x-7)(x-3)# concave or convex?
• For what values of x is #f(x)=(x-1)(x-7)(x-1)# concave or convex?
• For what values of x is #f(x)=-x^2+4x+2# concave or convex?
• For what values of x is #f(x)=-x^2-6x+2# concave or convex?
• For what values of x is #f(x)=-2x^2-6x+4# concave or convex?
• For what values of x is #f(x)=4x^3-3x+5# concave or convex?
• For what values of x is #f(x)=x^2e^x# concave or convex?
• For what values of x is #f(x)=-x^2+e^x# concave or convex?
• For what values of x is #f(x)=-x^2+xe^x# concave or convex?
• For what values of x is #f(x)=-x^2-xe^x# concave or convex?
• For what values of x is #f(x)=x^3e^x# concave or convex?
• For what values of x is #f(x)=x^3/e^x# concave or convex?
• For what values of x is #f(x)=x^3-e^x# concave or convex?
• For what values of x is #f(x)=x^3-x^2e^x# concave or convex?
• For what values of x is #f(x)=x^3+x-e^x/x# concave or convex?
• For what values of x is #f(x)= (x-x^3)/(2-x^3)# concave or convex?
• For what values of x is #f(x)= (5x-x^3)/(2-x)# concave or convex?
• For what values of x is #f(x)= e^x/(5x^2 +1# concave or convex?
• For what values of x is #f(x)= e^x/(5x^2) +1# concave or convex?
• For what values of x is #f(x)= e^x/(x^2-x) -e^x# concave or convex?
• For what values of x is #f(x)= -x^2+3x+4# concave or convex?
• For what values of x is #f(x)= -x^2-x+4# concave or convex?
• For what values of x is #f(x)= -4x^3-x+12# concave or convex?
• For what values of x is #f(x)= 2x^3+5x+12# concave or convex?
• For what values of x is #f(x)=(x^2−x)e^x# concave or convex?
• For what values of x is #f(x)=(x^2−x)/e^x# concave or convex?
• For what values of x is #f(x)=(2x^2−4x)e^x# concave or convex?
• For what values of x is #f(x)=-2x- (x+3)^ (-2/3)# concave or convex?
• For what values of x is #f(x)=(3x-2)(4x+2) (x+3)# concave or convex?
• For what values of x is #f(x)=(5x-1)(x-5) (2x+3)# concave or convex?
• For what values of x is #f(x)=(2x-1)(3x-5) (x-2)# concave or convex?
• For what values of x is #f(x)=1/(x-3)# concave or convex?
• For what values of x is #f(x)=(2x-2)(x-3)(x+3)# concave or convex?
• For what values of x is #f(x)=(2x-2)(x-4)(3x-3)# concave or convex?
• For what values of x is #f(x)=(2x-2)(x-4)(x-3)# concave or convex?
• For what values of x is #f(x)=(x-3)(x+2)(x-1)# concave or convex?
• For what values of x is #f(x)=(x-3)(x+2)(3x-2)# concave or convex?
• For what values of x is #f(x)=(x-1)(x-6)(x-2)# concave or convex?
• For what values of x is #f(x)=(7x-1)(x-6)(x-2)# concave or convex?
• For what values of x is #f(x)=(x-1)(x-3)(x+12)# concave or convex?
• For what values of x is #f(x)=(x+2)(x-3)(x+1)# concave or convex?
• For what values of x is #f(x)= x + 1/x # concave or convex?
• For what values of x is #f(x)= x^2-x + 1/x # concave or convex?
• For what values of x is #f(x)= x^2-x + 1/x-1/x^2 # concave or convex?
• For what values of x is #f(x)= xe^-x # concave or convex?
• For what values of x is #f(x)= x-x^2e^-x # concave or convex?
• For what values of x is #f(x)= -x^4-9x^3+2x+4 # concave or convex?
• For what values of x is #f(x)= x^4-3x^3-4x-7 # concave or convex?
• For what values of x is #f(x)= -5x^3+2x^2-3x-12 # concave or convex?
• For what values of x is #f(x)= -5x^3+x^2+4x-12 # concave or convex?
• For what values of x is #f(x)= -x^3+3x^2+2x-12 # concave or convex?
• For what values of x is #f(x)= -x^3+3x^2-2x+2 # concave or convex?
• For what values of x is #f(x)= -2x^3 + 4 x^2 + 5x -5 # concave or convex?
• For what values of x is #f(x)= -9x^3 + 4 x^2 + 7x -2 # concave or convex?
• For what values of x is #f(x)= 7x^3 + 2 x^2 + 7x -2 # concave or convex?
• For what values of x is #f(x)= 2x^3-9x # concave or convex?
• For what values of x is #f(x)= 24x^3-12x # concave or convex?
• For what values of x is #f(x)= 4x^3-12x^2 # concave or convex?
• For what values of x is #f(x)= 1/2x^4-6x^3-48x^2-96x+2# concave or convex?
• For what values of x is #f(x)= -x^4-4x^3+8x^2+6x+2# concave or convex?
• For what values of x is #f(x)= x^3 - 4x^2 + 5x # concave or convex?
• For what values of x is #f(x)= x-cosx# concave or convex?
• For what values of x is #f(x)=3+x^2/2# concave or convex?
• What intervals is this function: #f(x)= x^5(lnx)# increasing and decreasing?
• Question #e365f
• Question #db8e2
• Question #199ee
• On what interval is f concave upward? f(x)=xln(x)
• Find the following for function #f(x)=\ln(x^4+1)#...?
• Question #1b9b0
• Question #fc572